Abstract: | By using a specially constructed cone and the fixed point index theory, this paper investigates the existence of multiple
positive solutions for the third-order threepoint singular semipositone BVP: where 1/2 < η < 1, the non-linear term ƒ(t, x): (0, 1) × (0, + ∞) → (-∞, + ∞) is continuous and may be singular att = 0,t = 1, andx = 0, also may be negative for some values oft andx, λ is a positive parameter. |